examine、よく見る、調査
inspect 基準に照らして検査
車を買う前にするのはexamineというよりinspect。"inspect his philosophy" とは言わないが、"examine philosophies"とは言う("examine, check, inspect", WordReference.com)。
inspect schools, examine patients, check that the lights are out in the office ("check, inspect, examine"; WordReference.com)
"Inspect": looking into something with a focus on spotting errors or faults, "examine": looking into something carefully or critically. (italki)